Two-dimensional quantum walk with non-Hermitian skin effects
- URL: http://arxiv.org/abs/2005.09474v2
- Date: Tue, 2 Mar 2021 12:36:36 GMT
- Title: Two-dimensional quantum walk with non-Hermitian skin effects
- Authors: Tianyu Li, Yong-Sheng Zhang, and Wei Yi
- Abstract summary: We show that the emergence of topological edge states are consistent with Floquet winding numbers calculated using a non-Bloch band theory.
Our work would stimulate further studies of non-Hermitian Floquet topological phases where skin effects play a key role.
- Score: 7.182858821473896
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We construct a two-dimensional, discrete-time quantum walk exhibiting
non-Hermitian skin effects under open-boundary conditions. As a confirmation of
the non-Hermitian bulk-boundary correspondence, we show that the emergence of
topological edge states are consistent with Floquet winding numbers calculated
using a non-Bloch band theory invoking time-dependent generalized Billouin
zones. Further, the non-Bloch topological invariants associated with
quasienergy bands are captured by a non-Hermitian local Chern marker in real
space, defined through local biorthogonal eigen wave functions of the
non-unitary Floquet operator. Our work would stimulate further studies of
non-Hermitian Floquet topological phases where skin effects play a key role.
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